The coordinates of point A are (2,1) and the coordinates of point B are (-4,9). What are the coordinates of the midpoint of segment AB (answers are listed above)

Answer:
(- 1, 5 )
Step-by-step explanation:
Using the midpoint formula
For 2 points (x₁, y₁ ) and (x₂, y₂ ) the midpoint is calculated as
[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
with (x₁, y₁ ) = A(2, 1) and (x₂, y₂ ) = (- 4, 9 ), then
midpoint = [0.5(2 - 4), 0.5(1 + 9) ] = [0.5(- 2) , 0.5(10) ] = (- 1, 5 )